If you can answer them correctly me with this and 3 more ! you will also get !

a rectangular prism has a length of 12 in., a width of 5 in., and a height of 4 1/4 in.

the prism is filled with cubes that have edge lengths of 1/4 in.

how many cubes are needed to fill the rectangular prism?

enter your answer in the box.

to fill the rectangular prism, ? cubes are needed.

1. It takes 8 x 4 x 15 cubes, or 480 cubes with side lengths of ¼ inch. The volume of the right rectangular prism is 480/64 = 7 ½ cubic inches or 2 x 1 x 3 ¾ = 7 ½ cubic inches.

2. It takes 3 x 1 x 8 cubes, or 24 cubes with side lengths of ½ inch. The volume of the right rectangular prism is 24/8 = 3 cubic inches or 1 ½ x ½ x 4 = 3 cubic inches.

3. It takes 9 x 3 x 4 cubes, or 108 cubes with side lengths of ½ inch. The volume of the right rectangular prism is 108/8 = 13 ½ cubic inches or 4 ½ x 1 1/2 x 2 = 13 1/2 cubic inches.

4. It takes 3 x 2 x 8 cubes, or 48 cubes with side lengths of ¼ inch. The volume of the right rectangular prism is 48/64 = ¾ cubic inches or ¾ x ½ x 2 = ¾ cubic inches.

5. It takes 5 x 7 x 8 cubes, or 280 cubes with side lengths of ½ inch. The volume of the right rectnagular prism is 280/8 = 35 cubic inches or 2 ½ x 3 ½ x 4 = 35 cubic inches.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116